856121760 has 576 divisors, whose sum is σ = 3467318400. Its totient is φ = 190439424.

The previous prime is 856121729. The next prime is 856121771. The reversal of 856121760 is 67121658.

856121760 is a `hidden beast` number, since 8 + 561 + 21 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10314679 + ... + 10314761.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2^856121760 is an apocalyptic number.

856121760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733659200).

856121760 is an abundant number, since it is smaller than the sum of its proper divisors (2611196640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

856121760 is a wasteful number, since it uses less digits than its factorization.

856121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 856121760 is about 29259.5584382266. The cubic root of 856121760 is about 949.5368970918.

The spelling of 856121760 in words is "eight hundred fifty-six million, one hundred twenty-one thousand, seven hundred sixty".